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Linear Equations Worksheet for Maths Olympiad

Maths Olympiad topic 18: Solving linear equations · Set 367 · 40 questions
TalentJR

How to solve it (Balance): Bring the x terms to one side and the plain numbers to the other (change the sign when you move a term across). Divide both sides by the number in front of x (or multiply if x is divided). Check by putting your answer back into the equation.

NameDateTime takenScore ___ / 40
  1. 1.If 4x + 11 = 39, what is x? (a) 28 (b) 6 (c) 7 (d) 8
  2. 2.If x/5 + 10 = 16, what is x? (a) 6 (b) 130 (c) 70 (d) 30
  3. 3.If 3x − 2 = 13, what is x? (a) 15 (b) 6 (c) 4 (d) 5
  4. 4.If 8x + 12 = 108, what is x? (a) 15 (b) 96 (c) 13 (d) 12
  5. 5.If x/2 + 4 = 12, what is x? (a) 20 (b) 32 (c) 8 (d) 16
  6. 6.If x/3 + 9 = 20, what is x? (a) 11 (b) 51 (c) 87 (d) 33
  7. 7.If x/6 + 8 = 11, what is x? (a) 3 (b) 114 (c) 58 (d) 18
  8. 8.If 2x + 13 = 25, what is x? (a) 6 (b) 12 (c) 7 (d) 19
  9. 9.If 7x − 46 = 17, what is x? (a) 63 (b) 8 (c) 10 (d) 9
  10. 10.If 4x − 17 = 31, what is x? (a) 13 (b) 11 (c) 48 (d) 12
  11. 11.If x/5 + 1 = 5, what is x? (a) 30 (b) 24 (c) 20 (d) 4
  12. 12.If 3x + 19 = 55, what is x? (a) 12 (b) 13 (c) 36 (d) 11
  13. 13.If x/6 + 3 = 9, what is x? (a) 6 (b) 72 (c) 51 (d) 36
  14. 14.If 6x − 28 = 2, what is x? (a) 30 (b) 4 (c) 6 (d) 5
  15. 15.If 7x − 2 = 33, what is x? (a) 35 (b) 5 (c) 4 (d) 6
  16. 16.If 9x + 13 = 112, what is x? (a) 99 (b) 10 (c) 12 (d) 11
  17. 17.If x/2 + 12 = 17, what is x? (a) 5 (b) 22 (c) 10 (d) 58
  18. 18.If x/6 + 11 = 15, what is x? (a) 4 (b) 156 (c) 24 (d) 79
  19. 19.If x/4 + 11 = 19, what is x? (a) 65 (b) 8 (c) 120 (d) 32
  20. 20.If 5x − 7 = 8, what is x? (a) 15 (b) 2 (c) 4 (d) 3
  21. 21.If 7x + 5 = 103, what is x? (a) 15 (b) 13 (c) 14 (d) 98
  22. 22.If 8x + 1 = 113, what is x? (a) 15 (b) 13 (c) 14 (d) 112
  23. 23.If 9x + 22 = 94, what is x? (a) 8 (b) 9 (c) 7 (d) 72
  24. 24.If 8x + 16 = 120, what is x? (a) 14 (b) 17 (c) 13 (d) 104
  25. 25.If 2x − 1 = 5, what is x? (a) 4 (b) 6 (c) 3 (d) 2
  26. 26.If x/5 + 11 = 14, what is x? (a) 3 (b) 59 (c) 15 (d) 125
  27. 27.If x/3 + 9 = 19, what is x? (a) 84 (b) 48 (c) 10 (d) 30
  28. 28.If 4x + 6 = x + 33, what is x? (a) 9 (b) 13 (c) 10 (d) 11
  29. 29.If 7x − 59 = 4, what is x? (a) 8 (b) 9 (c) 10 (d) 63
  30. 30.If 9x − 37 = 17, what is x? (a) 7 (b) 5 (c) 54 (d) 6
  31. 31.If 7x + 8 = 5x + 14, what is x? (a) 11 (b) 3 (c) 4 (d) 5
  32. 32.If 4x + 2 = 42, what is x? (a) 40 (b) 11 (c) 9 (d) 10
  33. 33.If 9x + 18 = 81, what is x? (a) 63 (b) 7 (c) 8 (d) 11
  34. 34.If 9x − 12 = 105, what is x? (a) 14 (b) 13 (c) 117 (d) 12
  35. 35.If 7x + 22 = 50, what is x? (a) 28 (b) 3 (c) 5 (d) 4
  36. 36.If x/4 + 10 = 21, what is x? (a) 74 (b) 124 (c) 44 (d) 11
  37. 37.If 5x + 6 = 71, what is x? (a) 65 (b) 12 (c) 13 (d) 14
  38. 38.If 4x − 9 = 11, what is x? (a) 4 (b) 20 (c) 6 (d) 5
  39. 39.If 3x + 16 = 22, what is x? (a) 1 (b) 2 (c) 6 (d) 3
  40. 40.If 9x + 16 = 43, what is x? (a) 27 (b) 4 (c) 2 (d) 3

Answer key

  1. 7
  2. 30
  3. 5
  4. 12
  5. 16
  6. 33
  7. 18
  8. 6
  9. 9
  10. 12
  11. 20
  12. 12
  13. 36
  14. 5
  15. 5
  16. 11
  17. 10
  18. 24
  19. 32
  20. 3
  21. 14
  22. 14
  23. 8
  24. 13
  25. 3
  26. 15
  27. 30
  28. 9
  29. 9
  30. 6
  31. 3
  32. 10
  33. 7
  34. 13
  35. 4
  36. 44
  37. 13
  38. 5
  39. 2
  40. 3

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